6L 7s: Difference between revisions
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This MOS is the chromatic scale of a family of temperaments which are index-2 subtemperaments (that is, taking every other step of the generator chain) of various [[meantone]] temperaments: that is, those that are generated by a ''mean tone'', that being specifically a whole tone of tunings with a fifth in between that of [[26edo]] and [[12edo]], and roughly speaking between [[10/9]] and [[9/8]]. | This MOS is the chromatic scale of a family of temperaments which are index-2 subtemperaments (that is, taking every other step of the generator chain) of various [[meantone]] temperaments: that is, those that are generated by a ''mean tone'', that being specifically a whole tone of tunings with a fifth in between that of [[26edo]] and [[12edo]], and roughly speaking between [[10/9]] and [[9/8]]. | ||
The most notable temperaments generating this scale are [[didacus]] in the [[2.5.7 subgroup]] and [[Hemimean clan|its extensions]], with its generator identified with ~[[28/25]], whose optimum makes a [[superhard]] tuning, similarly to the situation with [[5L 6s]] and [[slendric]]. | The most notable temperaments generating this scale are [[didacus]] in the [[2.5.7 subgroup]] and [[Hemimean clan|its extensions]], with its generator identified with ~[[28/25]], whose optimum makes a [[superhard]] tuning, similarly to the situation with [[5L 6s]] and [[slendric]]. | ||
== | == Scale properties == | ||
{{ | {{TAMNAMS use}} | ||
{{MOS data}} | |||
{{MOS | |||
== Scale tree == | == Scale tree == | ||
{{ | {{MOS tuning spectrum | ||
11/3 | | 11/3 = [[Hemithirds]]/[[luna]] | ||
4/1 | | 4/1 = [[Didacus]]/[[hemiwürschmidt]] | ||
5/1 | | 5/1 = [[Roulette]]/[[mediantone]] | ||
}} | }} | ||
[[Category:Abstract MOS patterns]] | [[Category:Abstract MOS patterns]] | ||
Revision as of 13:43, 3 March 2025
| ↖ 5L 6s | ↑ 6L 6s | 7L 6s ↗ |
| ← 5L 7s | 6L 7s | 7L 7s → |
| ↙ 5L 8s | ↓ 6L 8s | 7L 8s ↘ |
Scale structure
ssLsLsLsLsLsL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
6L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 7 small steps, repeating every octave. 6L 7s is a child scale of 6L 1s, expanding it by 6 tones. Generators that produce this scale range from 184.6 ¢ to 200 ¢, or from 1000 ¢ to 1015.4 ¢.
This MOS is the chromatic scale of a family of temperaments which are index-2 subtemperaments (that is, taking every other step of the generator chain) of various meantone temperaments: that is, those that are generated by a mean tone, that being specifically a whole tone of tunings with a fifth in between that of 26edo and 12edo, and roughly speaking between 10/9 and 9/8.
The most notable temperaments generating this scale are didacus in the 2.5.7 subgroup and its extensions, with its generator identified with ~28/25, whose optimum makes a superhard tuning, similarly to the situation with 5L 6s and slendric.
Scale properties
- This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.
|
Template:MOS data is deprecated.
Details: Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 2\13 | 184.615 | 1015.385 | 1:1 | 1.000 | Equalized 6L 7s | |||||
| 11\71 | 185.915 | 1014.085 | 6:5 | 1.200 | ||||||
| 9\58 | 186.207 | 1013.793 | 5:4 | 1.250 | ||||||
| 16\103 | 186.408 | 1013.592 | 9:7 | 1.286 | ||||||
| 7\45 | 186.667 | 1013.333 | 4:3 | 1.333 | Supersoft 6L 7s | |||||
| 19\122 | 186.885 | 1013.115 | 11:8 | 1.375 | ||||||
| 12\77 | 187.013 | 1012.987 | 7:5 | 1.400 | ||||||
| 17\109 | 187.156 | 1012.844 | 10:7 | 1.429 | ||||||
| 5\32 | 187.500 | 1012.500 | 3:2 | 1.500 | Soft 6L 7s | |||||
| 18\115 | 187.826 | 1012.174 | 11:7 | 1.571 | ||||||
| 13\83 | 187.952 | 1012.048 | 8:5 | 1.600 | ||||||
| 21\134 | 188.060 | 1011.940 | 13:8 | 1.625 | ||||||
| 8\51 | 188.235 | 1011.765 | 5:3 | 1.667 | Semisoft 6L 7s | |||||
| 19\121 | 188.430 | 1011.570 | 12:7 | 1.714 | ||||||
| 11\70 | 188.571 | 1011.429 | 7:4 | 1.750 | ||||||
| 14\89 | 188.764 | 1011.236 | 9:5 | 1.800 | ||||||
| 3\19 | 189.474 | 1010.526 | 2:1 | 2.000 | Basic 6L 7s Scales with tunings softer than this are proper | |||||
| 13\82 | 190.244 | 1009.756 | 9:4 | 2.250 | ||||||
| 10\63 | 190.476 | 1009.524 | 7:3 | 2.333 | ||||||
| 17\107 | 190.654 | 1009.346 | 12:5 | 2.400 | ||||||
| 7\44 | 190.909 | 1009.091 | 5:2 | 2.500 | Semihard 6L 7s | |||||
| 18\113 | 191.150 | 1008.850 | 13:5 | 2.600 | ||||||
| 11\69 | 191.304 | 1008.696 | 8:3 | 2.667 | ||||||
| 15\94 | 191.489 | 1008.511 | 11:4 | 2.750 | ||||||
| 4\25 | 192.000 | 1008.000 | 3:1 | 3.000 | Hard 6L 7s | |||||
| 13\81 | 192.593 | 1007.407 | 10:3 | 3.333 | ||||||
| 9\56 | 192.857 | 1007.143 | 7:2 | 3.500 | ||||||
| 14\87 | 193.103 | 1006.897 | 11:3 | 3.667 | Hemithirds/luna | |||||
| 5\31 | 193.548 | 1006.452 | 4:1 | 4.000 | Superhard 6L 7s Didacus/hemiwürschmidt | |||||
| 11\68 | 194.118 | 1005.882 | 9:2 | 4.500 | ||||||
| 6\37 | 194.595 | 1005.405 | 5:1 | 5.000 | Roulette/mediantone | |||||
| 7\43 | 195.349 | 1004.651 | 6:1 | 6.000 | ||||||
| 1\6 | 200.000 | 1000.000 | 1:0 | → ∞ | Collapsed 6L 7s | |||||